Answer

Nothing specifically outlined, but other headphones I've used that have both a 3.5mm version and a L
Nothing specifically outlined, but other headphones I've used that have both a 3.5mm version and a Lightning (or USB) version have always sounded better through the Lightning ones. Just richer, more detail. A good comparison, is the difference between speakers you buy in a supermarket, and speakers you buy from a music store :P
So nothing specific on paper, but if you get to try out a pair of the lightning ones and the 3.5mm ones side by side, I would expect the Lightning ones to sound better. Apple does a 14-day return policy so long as they're not damaged, so if there's nowhere nearby that you can try them out side by side, you could always buy a pair, listen to them and send them back if you don't feel they're worth the upgrade!

Answer

If it's still under the warranty and there's no physical damage then yes.
I recommend you to contac
If it's still under the warranty and there's no physical damage then yes.
I recommend you to contact Apple Support for more information or to visit on the Apple Retail Stores or one of the Apple Authorised Service Providers.